The biggest disputes are Russia/Ukraine, Taiwan, trade dumping, and cyberwarfare. The EU wants Ukraine to win the war, the status quo to be maintained in Taiwan, to protect its domestic manufacturing, and to protect its computer systems from interference. I don’t know enough about the latter two to say the truth of what China and the EU are doing, I just know that the EU has disputes with China about them

I do think that a healthy China-EU relationship in the near future is far more likely than a Russia-EU one and even a little more likely than a US-EU one. There are disputes, but to my amateur eye they look more surmountable